Word problems

1.  Singing competition

 140

Explanation:

Add all the points that Sophia got in five rounds.

50 + (– 15) + (– 10) + 75 + 40

= (50 + 75 + 40) + (– 15) + (– 10)

= 165 + (-25)

= 165 – 25

=140


So, Sophia got 140 points in all the five rounds.

2.  Bank membership

 $1850

Explanation:

The money that is deposited is represented by a positive integer because it is adding money to the account.

The money that is withdrawn is represented by a negative integer because it is subtracting money.


Amount deposited = $5,000

Amount withdrawn = $3,150

The balance in Max's account = 5,000 + (-3150)

= 5,000 – 3150

= 1850


So, Max has $1850 left in his bank account after withdrawing money for his vacation.

3.  Travel and distance

 5 miles

Explanation:

The distance towards north is represented by a positive integer. The distance towards south is represented by a negative integer.

The park is 55 miles north of her school, and her house is 50 miles south of her school.

Distance from house to school is 55 miles + (-50 miles)

55 miles + (-50 miles)

= 55 - 50

= 5


So, Jennifer has to travel 5 miles everyday to school.






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